Theorems · Theorem · commutative algebra
Nat.castEmbedding_apply
∀ {R : Type u_2} [inst : AddMonoidWithOne R] [inst_1 : CharZero R] (a : ℕ), Nat.castEmbedding a = ↑a- Defined in
- Mathlib.Algebra.Ring.CharZero
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- AddMonoidWithOneCharZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Function.Embeddingstatement · cited by 988
- CharZerostatement and proof · cited by 932
- AddMonoidWithOnestatement and proof · cited by 313
- Nat.castEmbeddingstatement and proof · cited by 29
Cited by9
Results whose statement or proof uses this declaration.
- Int.radical_natAbs_eq_radicalproof · cited by 3
- nivenproof · cited by 2
- Nat.Ico_filter_modEq_castproof · cited by 1
- Nat.Ioc_filter_modEq_castproof · cited by 1
- UniqueFactorizationMonoid.primeFactors_eq_primeFactors_natAbsproof · cited by 1
- Int.mem_divisorsAntidiagproof · cited by 0
- Int.mem_divisors_iff_natAbs_mem_divisors_natAbsproof · cited by 0
- strictConvexOn_zpowproof · cited by 0